Question

Someone please help, it will be so appreciated!

Answer 1

Hello,

Question:

Keisha solved the following equation:

4x − 2x + 8 = 6(x + 4)

Which step has an incorrect justification? (Make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)

Correct Solution:

x − 2x + 8 = 6(x + 4)

4x + −2x + 8 = (6) (x) + (6) (4) (Distribute)

4x + −2x + 8 = 6x + 24

(4x + −2x) + (8) = 6x + 24 (Combine Like Terms)

2x + 8 = 6x + 24

2x + 8 = 6x + 24

Subtract 6x from both sides.

2x + 8 − 6x = 6x + 24 − 6x

−4x + 8 = 24

Subtract 8 from both sides.

−4x + 8 − 8 = 24 − 8

−4x = 16

-4 x -4 = 16

x = -4

Answer:

Where keisha went wrong was forgeting to subtract 6x to both sides.

Incorrrect step is #3

Answer 2

The solution to the equation is correct.

on the line - 4x + 8 = 24 to the next line

- 4x = 16

4 should be Subtraction property of equality and not addition property of equality